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Finding the Fourth Proportional to 834.29, 1,151.11 and 568.25

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Solution

The fourth proportional to 834.29, 1,151.11 and 568.25 is: 784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.29 : 1,151.11 = 568.25 : x
  2. Step 2: Convert to fraction form
    834.29/1,151.11 = 568.25/x
  3. Step 3: Cross multiply
    834.29x = 1,151.11 × 568.25
  4. Step 4: Simplify right side
    834.29x = 654,119.71
  5. Step 5: Solve for x
    x = 654,119.71/834.29
  6. Step 6: Final answer
    x = 784.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.